Question

Two parallel lines are crossed by a transversal.

Answer 1

Alternate interior angles are congruent as per the theorem.

In order to find the value of x, set the angles equal to each other.

$3x + 4 = 115\\\\ 3x = 111\\ \\ x = 37$

Hence, the value of x is 37.

Answer 2

Answer:

Value of x is 37.

Step-by-step explanation:

Given:

line y and line z are parallel.

line x is traversal line.

To find: value of x.

∠( 3x + 4 )° and ∠ 115° are alternate interior angle in the given figure.

We know that Alternate interior angles of parallel lines are equal.

So,

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 37

Therefore, Value of x is 37.